Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
542 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 542 conjugacy classes of subgroups — too many to draw. Only its 85 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #13126044 | C2 | semidirect |
| 5. #13113437 | C2 | semidirect |
| 6. #13113347 | C2 | semidirect |
| 7. C13×#1300 | C2 | semidirect |
| 127. #1300 | D13 | semidirect |
| 298. C13 | #10097 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13126044 | 2 |
| #13125211 | 2 |
| #13120779 | 2 |
| #13113549 | 2 |
| #13113437 | 2 |
| #13113347 | 2 |
| C13×#1300 | 2 |
| #10097 | 13 |